Question

A charge 'q' is circulating with constant speed 'V' in a semi-circular loop of wire of radius 'R'. The magnetic moment of this loop is ______.

पर्याय

• `("qV"pi"R")/(2(pi + 2))`

• qVR

• `"qVR"/pi`

• `"qVR"/(pi + 2)`

Answer 1

A charge 'q' is circulating with constant speed 'V' in a semi-circular loop of wire of radius 'R'. The magnetic moment of this loop is `underline(("qV"pi"R")/(2(pi + 2)))`.

Explanation:

`mu = "A i" = (pi"R"^2)/2 xx "q"/"t"`

t = `(pi"R" + 2"R")/"V" = ("R"(pi + 2))/"V"`

`= (pi"R"^2)/2 xx "qV"/((pi + 2)"R")`

`= ("qV"pi"R")/(2 (pi + 2))`